{"id":3300,"date":"2016-06-16T09:45:16","date_gmt":"2016-06-16T09:45:16","guid":{"rendered":"http:\/\/acoeurparcoeur.com\/?p=3300"},"modified":"2016-06-16T09:45:16","modified_gmt":"2016-06-16T09:45:16","slug":"les-proprietes-du-cercle","status":"publish","type":"post","link":"https:\/\/acoeurparcoeur.com\/?p=3300","title":{"rendered":"Les propri\u00e9t\u00e9s du cercle ?"},"content":{"rendered":"<p><em>Rayon<\/em><br \/>\nTous les points d&rsquo;un cercle sont situ\u00e9s \u00e0 la <strong>m\u00eame distance<\/strong> (rayon r du cercle) d&rsquo;un point fixe (centre O du cercle).<\/p>\n<p><em>Diam\u00e8tre<\/em><br \/>\nLe diam\u00e8tre d&rsquo;un cercle est le segment de droite passant par son centre et limit\u00e9 par les points du cercle, sa valeur est \u00e9gale au <strong>double du rayon (d = 2 x r).<\/strong><\/p>\n<p><em>P\u00e9rim\u00e8tre<\/em><br \/>\nLe p\u00e9rim\u00e8tre d&rsquo;un cercle est \u00e9gal au produit <strong>de son diam\u00e8tre par le nombre pi (p = d x pi)<\/strong>.<\/p>\n<p><em>Aire<\/em><br \/>\nL&rsquo;aire (surface) d&rsquo;un cercle est \u00e9gale au produit <strong>de son rayon au carr\u00e9 par le nombre pi (A = pi x r2)<\/strong>.<\/p>\n<p><em>Tangente<\/em><br \/>\nSi une droite est tangente \u00e0 un cercle en un point A, alors cette droite et ce cercle n\u2019ont qu&rsquo;<strong>un seul point commun<\/strong>: le point A.<\/p>\n<p><em>Angle inscrit<\/em><br \/>\nDans un cercle, si 2 angles inscrits interceptent le m\u00eame arc de cercle alors ils ont <strong>la me?me mesure<\/strong>.<\/p>\n<p><em>Angle au centre<\/em><br \/>\nDans un cercle, la mesure de l&rsquo;angle au centre mesure <strong>le double<\/strong> de la mesure d&rsquo;un angle inscrit interceptant le m\u00eame arc de cercle.<\/p>\n<p><em>Cercle circonscrit<\/em><br \/>\nLe cercle circonscrit \u00e0 un triangle est le cercle qui passe par les 3 sommets du triangles, son centre \u00e9tant l&rsquo;intersection des <strong>m\u00e9diatrices<\/strong> du triangle (si le triangle est rectangle le centre est le milieu de l&rsquo;hypot\u00e9nuse).<\/p>\n<p><em>Cercle inscrit<\/em><br \/>\nLe cercle inscrit dans un triangle est le cercle tangent aux 3 c\u00f4t\u00e9s du triangle, son centre \u00e9tant l&rsquo;intersection des <strong>bissectrices<\/strong> du triangle.<\/p>\n<p><em>Grand cercle<\/em><br \/>\nOn appelle grand cercle d&rsquo;une sph\u00e8re de centre O et de rayon r <strong>tout cercle de centre O et de rayon r<\/strong>.<\/p>\n<p><em>(Iconographie: construction du cercle circonscrit \u00e0 un triangle)<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Que dire des propri\u00e9t\u00e9s d&rsquo;un cercle: rayon, diam\u00e8tre, p\u00e9rim\u00e8tre, tangente, angle inscrit ou au centre, cercle inscrit ou circonscrit , grand cercle d&rsquo;une sph\u00e8re ?<\/p>\n","protected":false},"author":1,"featured_media":3301,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[347,135],"tags":[1838,1839,1840,1841,1842,1843,1844],"class_list":["post-3300","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-brevet","category-mathematiques","tag-bissectrice","tag-cercle-circonscrit","tag-cercle-inscrit","tag-diametre","tag-hypotenuse","tag-mediatrice","tag-rayon","has-thumbnail"],"_links":{"self":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/posts\/3300","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3300"}],"version-history":[{"count":0,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/posts\/3300\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/media\/3301"}],"wp:attachment":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}